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Mathematics

D-Index
64
Citations
15482
World Ranking
419
National Ranking
22

Research.com Recognitions

  • 2019 - Member of the European Academy of Sciences
  • 2017 - Member of Academia Europaea
  • 2011 - SIAM Fellow For contributions to numerical linear algebra, matrix theory, differential-algebraic equations, mathematical software, and the transfer of knowledge to and from industry.

Overview

Volker Mehrmann is affiliated with the Technical University of Berlin in Germany. Their research spans the intersection of engineering and mathematics, with a focused output in control and systems engineering and numerical analysis as key subfields.

Their research topics cover a range of areas related to differential equations and dynamical systems. These include numerical methods for differential equations, control and stability of dynamical systems, matrix theory and algorithms, model reduction and neural networks, stability and controllability of differential equations, advanced numerical methods in computational mathematics, and modeling and simulation systems.

Mehrmann has authored multiple papers on differential-algebraic and port-Hamiltonian systems, reflecting an emphasis on both theoretical and applied aspects in control theory. Noteworthy recent papers include:

  • Control of port-Hamiltonian differential-algebraic systems and applications (2023), published in Acta Numerica
  • Differential-algebraic systems with dissipative Hamiltonian structure (2023), published in Mathematics of Control Signals and Systems
  • Linear port-Hamiltonian DAE systems revisited (2023), published in Systems & Control Letters
  • Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations (2021), published in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
  • On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs (2022), published in SIAM Journal on Scientific Computing

Their frequent coauthors include Jörg Liesen, Franz Achleitner, Anton Arnold, Christian Mehl, and Delin Chu.

In terms of publishing venues, Mehrmann has contributed extensively to arXiv (Cornell University), European Mathematical Society Magazine, SIAM Journal on Matrix Analysis and Applications, ETNA - Electronic Transactions on Numerical Analysis, and Mathematics of Control Signals and Systems.

Mehrmann's authored books appear in notable series and publishers, such as EMS Textbooks in Mathematics, Springer undergraduate mathematics series, Springer Studium Mathematik - Bachelor, and Springer Nature. Titles authored include "Differential-Algebraic Equations" (2024), "Linear Algebra" (2025), "Lineare Algebra" (2024), and "Recent Stability Issues for Linear Dynamical Systems" (2024).

Their professional recognition includes being a member of the European Academy of Sciences since 2019, a member of Academia Europaea since 2017, and being named a SIAM Fellow in 2011 for contributions to numerical linear algebra, matrix theory, differential-algebraic equations, mathematical software, and knowledge transfer between academia and industry.

Best Publications

  • Differential-Algebraic Equations: Analysis and Numerical Solution

    Peter Kunkel;Volker Mehrmann

  • The Autonomous Linear Quadratic Control Problem: Theory and Numerical Solution

    Volker L. Mehrmann

  • Dimension Reduction of Large-Scale Systems

    Peter Benner;Peter Benner;Volker Mehrmann;Sorensen Danny C.

  • The Autonomous Linear Quadratic Control Problem

    Volker Ludwig Mehrmann

  • Vector Spaces of Linearizations for Matrix Polynomials

    D. Steven Mackey;Niloufer Mackey;Christian Mehl;Volker Mehrmann

  • Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods

    Volker Mehrmann;Heinrich Voss

  • Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

    D. Steven Mackey;Niloufer Mackey;Christian Mehl;Volker Mehrmann

  • NLEVP: A Collection of Nonlinear Eigenvalue Problems

    Timo Betcke;Nicholas J. Higham;Volker Mehrmann;Christian Schröder

  • SLICOT—A Subroutine Library in Systems and Control Theory

    Peter Benner;Peter Benner;Volker Mehrmann;Vasile Sima;Sabine Van Huffel

  • Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form

    Volker Mehrmann;Tatjana Stykel

  • Numerical methods for simultaneous diagonalization

    Angelika Bunse-Gerstner;Ralph Byers;Volker Mehrmann

  • Numerical computation of an analytic singular value decomposition of a matrix valued function

    Angelika Bunse-Gerstner;Ralph Byers;Volker Mehrmann;Nancy K. Nichols

  • Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils

    Volker Mehrmann;David Watkins

  • A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils

    Peter Benner;Peter Benner;Volker Mehrmann;Hongguo Xu

  • A symplectic QR like algorithm for the solution of the real algebraic Riccati equation

    A. Bunse-Gerstner;V. Mehrmann

  • Canonical forms for linear differential-algebraic equations with variable coefficients

    Peter Kunkel;Volker Mehrmann

  • Regularization of descriptor systems by derivative and proportional state feedback

    Angelika Bunse-Gerstner;Volker Mehrmann;Nancy K. Nichols

  • The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

    Julius Reiss;Philipp Schulze;Jörn Sesterhenn;Volker Mehrmann

  • Canonical forms for Hamiltonian and symplectic matrices and pencils

    Wen-Wei Lin;Volker Mehrmann;Hongguo Xu

  • Perturbation Theory for Matrix Equations

    M. Konstantinov;D. Gu;V. Mehrmann;P. Petkov

Frequent Co-Authors

Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Ralph Byers
Ralph Byers University of Kansas
Nancy Nichols
Nancy Nichols University of Reading
Hans Schneider
Hans Schneider University of Wisconsin–Madison
Maria J. Esteban
Maria J. Esteban Paris Dauphine University
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Richard A. Brualdi
Richard A. Brualdi University of Wisconsin–Madison
Nicholas J. Higham
Nicholas J. Higham University of Manchester
Serkan Gugercin
Serkan Gugercin Virginia Tech
Yurii Nesterov
Yurii Nesterov Université Catholique de Louvain

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